#### Solution for 329 is what percent of 403:

329:403*100 =

(329*100):403 =

32900:403 = 81.64

Now we have: 329 is what percent of 403 = 81.64

Question: 329 is what percent of 403?

Percentage solution with steps:

Step 1: We make the assumption that 403 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={403}.

Step 4: In the same vein, {x\%}={329}.

Step 5: This gives us a pair of simple equations:

{100\%}={403}(1).

{x\%}={329}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{403}{329}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{329}{403}

\Rightarrow{x} = {81.64\%}

Therefore, {329} is {81.64\%} of {403}.

#### Solution for 403 is what percent of 329:

403:329*100 =

(403*100):329 =

40300:329 = 122.49

Now we have: 403 is what percent of 329 = 122.49

Question: 403 is what percent of 329?

Percentage solution with steps:

Step 1: We make the assumption that 329 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={329}.

Step 4: In the same vein, {x\%}={403}.

Step 5: This gives us a pair of simple equations:

{100\%}={329}(1).

{x\%}={403}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{329}{403}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{403}{329}

\Rightarrow{x} = {122.49\%}

Therefore, {403} is {122.49\%} of {329}.

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